2 citations · 4 across the 21 of their papers we have counts for
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On the behavior of the colored Jones polynomial of the figure-eight knot under modular transformations
Christoph Aistleitner, Manuel Hauke
The colored Jones polynomial is an important quantum knot invariant in low-dimensional topology. In his seminal paper on quantum modular forms, Zagier predicted the behav…
The bad and rough rotation is Poissonian
Manuel Hauke
Motivated by the Berry-Tabor Conjecture and the seminal work of Rudnick-Sarnak, the fine-scale properties of sequences with $(a_n)_{n \in \mathbb…
Moment generating functions and moderate deviation principles for lacunary trigonometric sums
Christoph Aistleitner, Lorenz Frühwirth, Manuel Hauke +1
In a recent paper, Aistleitner, Gantert, Kabluchko, Prochno and Ramanan studied large deviation principles (LDPs) for lacunary trigonometric sums , whe…
On a Problem of Kac concerning Anisotropic Lacunary Sums
Lorenz Fruehwirth, Manuel Hauke
Given a lacunary sequence , arbitrary positive weights that satisfy a Lindeberg-Feller condition, and a function $f: \mathbb{T}…